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Finding the Fourth Proportional to 7,932.71, 11,898.10 and 2,089.78

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Solution

The fourth proportional to 7,932.71, 11,898.10 and 2,089.78 is: 3,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.71 : 11,898.10 = 2,089.78 : x
  2. Step 2: Convert to fraction form
    7,932.71/11,898.10 = 2,089.78/x
  3. Step 3: Cross multiply
    7,932.71x = 11,898.10 × 2,089.78
  4. Step 4: Simplify right side
    7,932.71x = 24,864,411.42
  5. Step 5: Solve for x
    x = 24,864,411.42/7,932.71
  6. Step 6: Final answer
    x = 3,134.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.